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2130975 = 335271141
BaseRepresentation
bin1000001000010000011111
311000021011000
420020100133
51021142400
6113401343
724053520
oct10102037
94007130
102130975
111226040
12869253
13597c42
143d6847
152c1600
hex20841f

2130975 has 96 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 864000.

The previous prime is 2130959. The next prime is 2130979. The reversal of 2130975 is 5790312.

It is not a de Polignac number, because 2130975 - 24 = 2130959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130979) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51955 + ... + 51995.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

22130975 is an apocalyptic number.

2130975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2130975 is an abundant number, since it is smaller than the sum of its proper divisors (2868705).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2130975 is a wasteful number, since it uses less digits than its factorization.

2130975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2130975 is about 1459.7859432122. The cubic root of 2130975 is about 128.6844640861.

The spelling of 2130975 in words is "two million, one hundred thirty thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 41 45 55 63 75 77 99 105 123 135 165 175 189 205 225 231 275 287 297 315 369 385 451 495 525 615 675 693 825 861 945 1025 1107 1155 1353 1435 1485 1575 1845 1925 2079 2255 2475 2583 3075 3157 3465 4059 4305 4725 5535 5775 6765 7175 7425 7749 9225 9471 10395 11275 12177 12915 15785 17325 20295 21525 27675 28413 33825 38745 47355 51975 60885 64575 78925 85239 101475 142065 193725 236775 304425 426195 710325 2130975